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141297280 = 2752329331
BaseRepresentation
bin10000110110000…
…00011010000000
3100211212122102121
420123000122000
5242133003110
622004254024
73334002265
oct1033003200
9324778377
10141297280
1172838813
123b3a1314
1323372977
1414aa126c
15c610cda
hex86c0680

141297280 has 128 divisors (see below), whose sum is σ = 365731200. Its totient is φ = 52039680.

The previous prime is 141297241. The next prime is 141297293. The reversal of 141297280 is 82792141.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426715 + ... + 427045.

It is an arithmetic number, because the mean of its divisors is an integer number (2857275).

Almost surely, 2141297280 is an apocalyptic number.

141297280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182865600).

141297280 is an abundant number, since it is smaller than the sum of its proper divisors (224433920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141297280 is a wasteful number, since it uses less digits than its factorization.

141297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 141297280 is about 11886.8532421327. The cubic root of 141297280 is about 520.8483194550.

The spelling of 141297280 in words is "one hundred forty-one million, two hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 290 320 331 368 460 464 580 640 662 667 736 920 928 1160 1324 1334 1472 1655 1840 1856 2320 2648 2668 2944 3310 3335 3680 3712 4640 5296 5336 6620 6670 7360 7613 9280 9599 10592 10672 13240 13340 14720 15226 18560 19198 21184 21344 26480 26680 30452 38065 38396 42368 42688 47995 52960 53360 60904 76130 76792 85376 95990 105920 106720 121808 152260 153584 191980 211840 213440 220777 243616 304520 307168 383960 426880 441554 487232 609040 614336 767920 883108 974464 1103885 1218080 1228672 1535840 1766216 2207770 2436160 3071680 3532432 4415540 4872320 6143360 7064864 8831080 14129728 17662160 28259456 35324320 70648640 141297280